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3930801336 = 233271117179233
BaseRepresentation
bin1110101001001011…
…0100010010111000
3101010221111101201200
43222102310102320
531022241120321
61450014414200
7166260155130
oct35222642270
911127441650
103930801336
111737920250
12918501360
134a84a3867
1429409dac0
15180156d26
hexea4b44b8

3930801336 has 384 divisors, whose sum is σ = 14192755200. Its totient is φ = 951459840.

The previous prime is 3930801331. The next prime is 3930801349. The reversal of 3930801336 is 6331080393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3930801336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3930801331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16870276 + ... + 16870508.

It is an arithmetic number, because the mean of its divisors is an integer number (36960300).

Almost surely, 23930801336 is an apocalyptic number.

3930801336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930801336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096377600).

3930801336 is an abundant number, since it is smaller than the sum of its proper divisors (10261953864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3930801336 is a wasteful number, since it uses less digits than its factorization.

3930801336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3930801336 is about 62696.1030367917. The cubic root of 3930801336 is about 1578.1939166145.

The spelling of 3930801336 in words is "three billion, nine hundred thirty million, eight hundred one thousand, three hundred thirty-six".